The Scholastic Aptitude Test (SAT) contains three sections: critical reading, mathematics and writing. Each part is scored on a 500-point scale.

The Scholastic Aptitude Test (SAT) contains three sections: critical reading, mathematics and writing. Each part is scored on a 500-point scale. Information on test scores for the 2015 version of SAT is available at the College Board website. A sample of SAT scores for 5 students follow:

Student Reading Math Writing

1 460 458 463 SM= Sample mean

2 456 459 455 SV= Sample variance

3 454 460 461

4 460 458 458

5 455 455 458

SM 458 459 459

SV 13.8 14.7 60.3

a.You are hired as statistician to test whether there are any differences among the three sections of the SAT, allowing for 10% error.

b. The level of difficulty for all the three sections of the SAT, measured by the score, are supposed to be the same. Do you agree with this after the results of the test? WHY?

PLEASE SHOW ALL WORK NEATLY SO I CAN UNDERSTAND IT. I AM REALLY STRUGGLING WITH THIS PROBLEM! I am working in excel as well so any tips would help.